Preheat oven to 375°F and grease a 9x13 inch baking dish.
Heat 2 tablespoons olive oil in a large skillet over medium-high heat and cook the sliced beef until browned, about 5-7 minutes, then transfer to the prepared baking dish.
In the same skillet, add remaining olive oil and sauté the peppers, onions, and mushrooms until softened and caramelized, about 10-12 minutes.
Season the vegetables with garlic powder, salt, and pepper, then spread them evenly over the beef in the baking dish.
Pour beef broth over the mixture, then layer provolone slices on top and sprinkle with mozzarella cheese.
Bake for 20-25 minutes until the cheese is melted, bubbly, and golden brown on top.
Let rest for 5 minutes before serving.